13214311252000 has 384 divisors, whose sum is σ = 33863535433728. Its totient is φ = 5064167808000.

The previous prime is 13214311251949. The next prime is 13214311252007. The reversal of 13214311252000 is 25211341231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13214311252007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1895608515 + ... + 1895615485.

It is an arithmetic number, because the mean of its divisors is an integer number (88186290192).

Almost surely, 2^{13214311252000} is an apocalyptic number.

13214311252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214311252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16931767716864).

13214311252000 is an abundant number, since it is smaller than the sum of its proper divisors (20649224181728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13214311252000 is a wasteful number, since it uses less digits than its factorization.

13214311252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 13214311252000 its reverse (25211341231), we get a palindrome (13239522593231).

The spelling of 13214311252000 in words is "thirteen trillion, two hundred fourteen billion, three hundred eleven million, two hundred fifty-two thousand".